The number 40272
40272 is a composite number with 20 divisors. Its prime factorisation is × 3 × 839. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 839, 1678, 2517, 3356, 5034, 6712 … 40272.
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How to work it out
- 1
40272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40272 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 40272 itself that is 63888, so 40272 is abundant (63888 is more than 40272). Euler's totient φ(40272) = 13408 numbers up to 40272 share no factor with it.
- 4
The digits of 40272 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40272 = 2^{4} \times 3 \times 839 \]40272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 13408 |
| Square | 1621833984 |
| Cube | 65314498203648 |
| Square root | 200.678848 (= 4√2517) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0272 × |
40272 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and seventy-two |
| Binary (base 2) | 1001110101010000 |
| Octal (base 8) | 116520 |
| Hexadecimal (base 16) | 9D50 |
| Base 3 | 2001020120 |
| As time | 40272 seconds = 11 h 11 min 12 s |
Is 40272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40272 ÷ 2 = 20136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40272 ÷ 3 = 13424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40272 ÷ 4 = 10068) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40272 ÷ 6 = 6712) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (40272 ÷ 8 = 5034) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40272 ÷ 12 = 3356) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40272 a prime number?
No. 40272 = × 3 × 839, so it is divisible by 2.
What are the factors of 40272?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 839, 1678, 2517, 3356, 5034, 6712, 10068, 13424, 20136, 40272.
What is 40272 in binary?
1001110101010000 (hexadecimal 9D50, octal 116520).
What is the square root of 40272?
About 200.6788, exactly 4√2517.
Is 40272 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40272?
It is a composite number with 20 divisors.